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Finding the Third Proportional to 10.29 and 21.77

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Solution

The third proportional to 10.29 and 21.77 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.29 : 21.77 = 21.77 : x
  2. Step 2: Convert to fraction form
    10.29/21.77 = 21.77/x
  3. Step 3: Cross multiply
    10.29x = 21.77 × 21.77
  4. Step 4: Simplify right side
    10.29x = 474.10
  5. Step 5: Solve for x
    x = 474.10/10.29
  6. Step 6: Final answer
    x = 46.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.